42,281,980

2² × 5 × 13 × 162623

42,281,980 factors as 2^2 × 5 × 13 × 162623. Its 24 positive divisors give a proper-divisor sum of 53,340,932, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 162623

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 95,622,912

Proper Divisor Sum 53,340,932

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42281959 ← → #42282007

Radix Representation

Decimal	42281980
Binary	10100001010010101111111100 (26 bits)
Octal	0o241225774
Hexadecimal	0x2852BFC

Divisor Catalog (24)

Collatz Trajectory (173 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

42,281,980 21,140,990 10,570,495 31,711,486 15,855,743 47,567,230 23,783,615 71,350,846 35,675,423 107,026,270 53,513,135 160,539,406 80,269,703 240,809,110 120,404,555 361,213,666 180,606,833 541,820,500 270,910,250 135,455,125 406,365,376 203,182,688 101,591,344 50,795,672 25,397,836 12,698,918 6,349,459 19,048,378 9,524,189 28,572,568 14,286,284 7,143,142 3,571,571 10,714,714 5,357,357 16,072,072 8,036,036 4,018,018 2,009,009 6,027,028 3,013,514 1,506,757 4,520,272 2,260,136 1,130,068 565,034 282,517 847,552 423,776 211,888 105,944 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698

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